#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## understand

[*see also*: mean, know, realize, recognize, grasp

When we talk of a complex measure, it is understood that μ(E) is a
complex number.

The first equality is understood to mean that......

The ideal is defined by m=......, it being understood that......

To understand why, let us remember that......

Our development will require a detailed understanding of cozero covers.

Thus it is reasonable to attempt using this homeomorphism to
gain an understanding of the structure of M.

It is hoped that a deeper understanding of these residues will help
establish new results about the distribution of modular symbols.

Back to main page